Entropic neural optimal transport via diffusion processes

N Gushchin, A Kolesov, A Korotin… - Advances in …, 2024 - proceedings.neurips.cc
We propose a novel neural algorithm for the fundamental problem of computing the entropic
optimal transport (EOT) plan between probability distributions which are accessible by …

Light schr\" odinger bridge

A Korotin, N Gushchin, E Burnaev - arXiv preprint arXiv:2310.01174, 2023 - arxiv.org
Despite the recent advances in the field of computational Schrodinger Bridges (SB), most
existing SB solvers are still heavy-weighted and require complex optimization of several …

Energy-Guided Continuous Entropic Barycenter Estimation for General Costs

A Kolesov, P Mokrov, I Udovichenko… - arXiv preprint arXiv …, 2023 - arxiv.org
Optimal transport (OT) barycenters are a mathematically grounded way of averaging
probability distributions while capturing their geometric properties. In short, the barycenter …

Unbalanced and Light Optimal Transport

M Gazdieva, A Asadulaev, A Korotin… - arXiv preprint arXiv …, 2023 - arxiv.org
While the field of continuous Entropic Optimal Transport (EOT) has been actively developing
in recent years, it became evident that the classic EOT problem is prone to different issues …

Rethinking Optimal Transport in Offline Reinforcement Learning

A Asadulaev, A Korotin, V Egiazarian, R Korst… - openreview.net
We present a novel approach for offline reinforcement learning that bridges the gap between
recent advances in neural optimal transport and reinforcement learning algorithms. Our key …